IDK. You should add an explanation
Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
Vectors are orthogonal, when dot product
Vectors
and
are orthogonal.
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.
First step is to find the gradient.
m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4
We have y = (13/4)x + c
Now we replace one of the coordinates to find c. Let’s replace (4,-8)
We have: -8 = (13/4)*4 + c
-8=13+c
c=-8-13= -21
Therefore, equation of line is:
y = (13/4)x - 21
Answer:
Step-by-step explanation:
So we have the expression:
To multiply, distribute the left to the terms on the right:
Distribute:
Combine like terms:
Simplify:
Therefore:
